8.3.41 Systems of Ordinary Differential Equations

Condition: Find a general solution to the system of equations. \ [\ begin {array} {l} \ dot {x} = a x, \ quad \ text {where} \ dot {x} = \ frac {d x}, \ quad x^{t} = \ left (x_ {1}; x_ {2}; 2}; 2}; ; X_ {3} \ Right), \\ A = \ Left (\ Begin {Array} {lll} 21 & -19 & -8 & -15 & -6 \\ 18 & -15 & -7 \ END {Array} \ RIGHT) \ end {Array} \]